188457378960 has 80 divisors (see below), whose sum is σ = 590782187520. Its totient is φ = 49690629120.

The previous prime is 188457378937. The next prime is 188457378979. The reversal of 188457378960 is 69873754881.

188457378960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 188457378891 and 188457378900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390096 + ... + 4432815.

It is an arithmetic number, because the mean of its divisors is an integer number (7384777344).

Almost surely, 2^188457378960 is an apocalyptic number.

188457378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188457378960 is an abundant number, since it is smaller than the sum of its proper divisors (402324808560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

188457378960 is a wasteful number, since it uses less digits than its factorization.

188457378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823016 (or 8823010 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 188457378960 in words is "one hundred eighty-eight billion, four hundred fifty-seven million, three hundred seventy-eight thousand, nine hundred sixty".